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 InverseJacobiDN

 http://functions.wolfram.com/09.41.27.0008.01

 Input Form

 InverseJacobiDN[z, m] == (-(I/Sqrt[m])) InverseJacobiNC[z, 1 - 1/m] /; z < 1 && m > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["InverseJacobiDN", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " "]], SqrtBox["m"]]]], RowBox[List["InverseJacobiNC", "[", RowBox[List["z", ",", RowBox[List["1", "-", FractionBox["1", "m"]]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["z", "<", "1"]], "\[And]", RowBox[List["m", ">", "1"]]]]]]]]

 MathML Form

 dn - 1 ( z m ) - m nc - 1 ( z 1 - 1 m ) /; z < 1 m > 1 Condition InverseJacobiDN z m -1 m 1 2 -1 InverseJacobiNC z 1 -1 1 m -1 z 1 m 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiDN", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["InverseJacobiNC", "[", RowBox[List["z", ",", RowBox[List["1", "-", FractionBox["1", "m"]]]]], "]"]]]], SqrtBox["m"]]]], "/;", RowBox[List[RowBox[List["z", "<", "1"]], "&&", RowBox[List["m", ">", "1"]]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29